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Finding the Fourth Proportional to 38,646,814.90, 54,185,167.10 and 38,646,814.90

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Solution

The fourth proportional to 38,646,814.90, 54,185,167.10 and 38,646,814.90 is: 54,185,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646,814.90 : 54,185,167.10 = 38,646,814.90 : x
  2. Step 2: Convert to fraction form
    38,646,814.90/54,185,167.10 = 38,646,814.90/x
  3. Step 3: Cross multiply
    38,646,814.90x = 54,185,167.10 × 38,646,814.90
  4. Step 4: Simplify right side
    38,646,814.90x = 2,094,084,123,239,269.75
  5. Step 5: Solve for x
    x = 2,094,084,123,239,269.75/38,646,814.90
  6. Step 6: Final answer
    x = 54,185,167.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.